Title
Linearization of Time-Varying Nonlinear Systems Using A Modified Linear Iterative Method
Abstract
The linearization of nonlinear systems is an important digital enhancement technique. In this paper, a real-time capable post- and pre-linearization method for the widely applicable time-varying discrete-time Volterra series is presented. To this end, an alternative view on the Volterra series is established, which enables the utilization of certain modified linear iterative methods for linearization. For one particular linear iterative method, the Richardson iteration, the corresponding post- and pre-linearizers are discussed in detail. It is motivated that the resulting algorithm can be regarded as a generalization of some existing methods. Furthermore, a simply verifiable condition for convergence is presented, which allows the straightforward evaluation of applicability. The proposed method is demonstrated by means of the linearization of a time-varying nonlinear amplifier, which highlights its capability of linearizing significantly distorted signals, illustrates the advantageous convergence behavior, and depicts its robustness against modeling errors.
Year
DOI
Venue
2014
10.1109/TSP.2014.2311965
Signal Processing, IEEE Transactions  
Keywords
DocType
Volume
Volterra series,discrete time systems,iterative methods,linearisation techniques,nonlinear systems,signal processing,time-varying systems,Richardson iteration,digital enhancement technique,modified linear iterative method,post-linearization method,pre-linearization method,signal distortion,time-varying discrete-time Volterra series,time-varying nonlinear amplifier,time-varying nonlinear system,$P$th-order inverse,Richardson iteration,Volterra series,digital predistortion,equalization,iterative methods,linearization,nonlinear systems,time-varying systems
Journal
62
Issue
ISSN
Citations 
10
1053-587X
7
PageRank 
References 
Authors
0.61
14
2
Name
Order
Citations
PageRank
Matthias Hotz1121.76
Christian Vogel236128.88